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Finding the Fourth Proportional to 350.40, 525.15 and 167.40

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Solution

The fourth proportional to 350.40, 525.15 and 167.40 is: 250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.40 : 525.15 = 167.40 : x
  2. Step 2: Convert to fraction form
    350.40/525.15 = 167.40/x
  3. Step 3: Cross multiply
    350.40x = 525.15 × 167.40
  4. Step 4: Simplify right side
    350.40x = 87,910.11
  5. Step 5: Solve for x
    x = 87,910.11/350.40
  6. Step 6: Final answer
    x = 250.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.